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Finding the Fourth Proportional to 22,982.67, 31,728.18 and 15,468.51

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Solution

The fourth proportional to 22,982.67, 31,728.18 and 15,468.51 is: 21,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.67 : 31,728.18 = 15,468.51 : x
  2. Step 2: Convert to fraction form
    22,982.67/31,728.18 = 15,468.51/x
  3. Step 3: Cross multiply
    22,982.67x = 31,728.18 × 15,468.51
  4. Step 4: Simplify right side
    22,982.67x = 490,787,669.61
  5. Step 5: Solve for x
    x = 490,787,669.61/22,982.67
  6. Step 6: Final answer
    x = 21,354.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.